Answer:
The appropriate solution is:
(1) 22.81 minutes
(2) 0.171
Step-by-step explanation:
According to the question, the values will be:
The service rate of guess will be:
= 
= 
The mean arrival rate will be:


The mean service rate will be:

(1)
The average time a cab must wait will be:
⇒ 
⇒ 
⇒ 
⇒ 
(2)
The required probability will be:
⇒ 
⇒ 
⇒ 
Answer:
505.4 in²
Step-by-step explanation:
½d2= 19×tan 35° = 19×0.7 = 13.3 in
d2 = 2×13.3 = 26.6 in
d1 = 2×19=38 in
the area of Rhombus =
½×38×26.6 = 505.4 in²
Answer:

Step-by-step explanation:
lets say you have two negative numbers, -x and -y (x and y are positive).

Answer:
40 minutes
Step-by-step explanation:
We simply want to find the least common multiple (lcm) of the two times (5 and 8). Which is 40 minutes
For a more visual representation every 5 minutes Georgia will cross the starting line while it will take Susana 8 minutes to cross after starting at the same time.
So Georgia will cross at (5, 10, 15, 20, 25, 30, 35, 40) minutes
While Susana will cross at (8, 16, 24, 32, 40) minutes
Answer:
176 mm
Step-by-step explanation:
The circumference of a circle is the perimeter of a circle (length of a circle). The circumference of a circle is given as:
Circumference (C) = 2πr = πd, where d is the diameter
The circumference of a circle with diameter 7 mm is:
C = πd = 22/7(7) = 22 mm
The length of the paper to round the cylindrical pencil is the same as the perimeter of the pencil which is 22 mm.
To round the pencil 8 times, the length of the paper needed = 8 × 22 mm = 176 mm